Pith Number

pith:5WWNFDSG

pith:2010:5WWNFDSGGR7GJPBZXBJ5EHHFZI

not attested not anchored not stored refs pending

Strong direct product conjecture holds for all relations in public coin randomized one-way communication complexity

Rahul Jain

arxiv:1010.0522 v2 · 2010-10-04 · cs.CC · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5WWNFDSGGR7GJPBZXBJ5EHHFZI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:39:19.274561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edacd28e46347e64bc39b853d21ce5ca09bf1c184ef2757de147ff80552357b6

Aliases

arxiv: 1010.0522 · arxiv_version: 1010.0522v2 · doi: 10.48550/arxiv.1010.0522 · pith_short_12: 5WWNFDSGGR7G · pith_short_16: 5WWNFDSGGR7GJPBZ · pith_short_8: 5WWNFDSG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5WWNFDSGGR7GJPBZXBJ5EHHFZI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: edacd28e46347e64bc39b853d21ce5ca09bf1c184ef2757de147ff80552357b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dc05dc672db2437a8ca5a870bb5bf797067f76fcf952ccf1570c23c09acc563",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2010-10-04T09:57:55Z",
    "title_canon_sha256": "fc11672888fc6fcb9b3cf1f4f10f37a314f89f0980ea87bcac0542d030f7c672"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0522",
    "kind": "arxiv",
    "version": 2
  }
}